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Two-Electron Quantum Dot in Magnetic Field: Analytical Results

M. Dineykhan·R. G. Nazmitdinov
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Abstract

Two interacting electrons in a harmonic oscillator potential under the influence of a perpendicular homogeneous magnetic field are considered. Analytic expressions are obtained for the energy spectrum of the two- and three-dimensional cases. Exact conditions for phase transitions due to the electron-electron interaction in a quantum dot as a function of the dot size and magnetic field are calculated.

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M. Dineykhan, R. G. Nazmitdinov. 1997-04-24. Two-Electron Quantum Dot in Magnetic Field: Analytical Results. https://doi.org/10.1103/physrevb.55.13707

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